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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос: В школе есть три 9-ых класса, в каждом по 28 школьников. Найдите количество способов выбрать из них 5 школьников в команду на математический бой так, чтобы из каждого класса был выбран хотя бы один школьник.
Предположим, что есть классы 9а, 9б, 9в. Возможны следующие варианты выбрать из этих классов пятерых учеников в команду согласно условию задачи: 1) (один ученик из 9а класса, один ученик из 9б класса, три ученика из 9в класса); 2) 3) 4) 5) 6)
Выбрать одного ученика из учеников определённого класса можно способами; выбрать двух учеников из можно способами; выбрать трёх учеников из можно способами.
Значит, количество способов составить команду из пяти учеников согласно условию задачи составляет
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Гордиенко Андрей Владимирович 
(один ученик из 9а класса, один ученик из 9б класса, три ученика из 9в класса);
учеников определённого класса можно 
способами; выбрать трёх учеников из 
способами.
